Generation of an electromagnetic field nonminimally coupled to gravity during Higgs inflation
| Autor: | S. I. Vilchinskii, O. O. Sobol, E. V. Gorbar, O. M. Teslyk |
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| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
Electromagnetic field
media_common.quotation_subject FOS: Physical sciences General Relativity and Quantum Cosmology (gr-qc) 01 natural sciences General Relativity and Quantum Cosmology electrical-conductivity High Energy Physics - Phenomenology (hep-ph) 0103 physical sciences origin Perturbation theory 010303 astronomy & astrophysics Mathematical physics media_common Coupling constant Inflation (cosmology) Physics 010308 nuclear & particles physics primordial magnetic-fields Spectral density Order (ring theory) universe Universe magnetogenesis High Energy Physics - Phenomenology Higgs boson |
| Popis: | In the framework of Higgs inflation, we consider the electromagnetic field nonminimally coupled to gravity via the parity-preserving $\propto RF^{2}$ and parity-violating $\propto RF\tilde{F}$ terms. Using the perturbation theory to the leading order in these couplings, we study the generation of the electromagnetic field during the inflation stage. We derive the effective kinetic and axial coupling functions arising in the Einstein frame in the usual metric as well as Palatini formulations of gravity. For both formulations, we determine the power spectrum, energy density, and helicality of the generated electromagnetic fields for different values of the nonminimal coupling constants. Finally, we estimate the maximal present-day magnitude of the magnetic field as $10^{-14}-10^{-15}\,$G with the correlation length of order 10 pc. 23 pages, 10 figures |
| Databáze: | OpenAIRE |
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